What are the first five terms of the sequence given by the formula a_n = 5n + 1

Solution:

Given, the formula is aₙ = 5n + 1

We have to write the first five terms of the sequence.

For first term n = 1

a₁ = 5(1) + 1

= 5 + 1

= 6

For second term n = 2

a₂ = 5(2) + 1

= 10 + 1

= 11

For third term n = 3

a₃ = 5(3) + 1

= 15 + 1

= 16

For fourth term n = 4

a₄ = 5(4) + 1

= 20 + 1

= 21

For fifth term n = 5

a₅ = 5(5) + 1

= 25 + 1

= 26

Therefore, the first five terms of the sequence are 6, 11, 16, 21, 26.

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What are the first five terms of the sequence given by the formula a_n = 5n + 1

Summary:

The first five terms of the sequence given by the formula aₙ = 5n + 1 are 6, 11, 16, 21, 26.